結果
問題 | No.2113 Distance Sequence 1.5 |
ユーザー |
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提出日時 | 2022-10-28 22:33:40 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 2 ms / 2,000 ms |
コード長 | 11,387 bytes |
コンパイル時間 | 2,083 ms |
コンパイル使用メモリ | 198,896 KB |
最終ジャッジ日時 | 2025-02-08 14:45:28 |
ジャッジサーバーID (参考情報) |
judge2 / judge2 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 4 |
other | AC * 21 |
ソースコード
#include <bits/stdc++.h>using namespace std;#define all(a) begin(a), end(a)#define rall(a) rbegin(a), rend(a)#define uniq(a) (a).erase(unique(all(a)), (a).end())#define t0 first#define t1 secondusing ll = long long;using ull = unsigned long long;using pll = pair<ll, ll>;using vll = vector<ll>;constexpr double pi = 3.14159265358979323846;constexpr ll dy[9] = {0, 1, 0, -1, 1, 1, -1, -1, 0};constexpr ll dx[9] = {1, 0, -1, 0, 1, -1, -1, 1, 0};constexpr ll sign(ll a) { return (a > 0) - (a < 0); }constexpr ll fdiv(ll a, ll b) { return a / b - ((a ^ b) < 0 && a % b); }constexpr ll cdiv(ll a, ll b) { return -fdiv(-a, b); }constexpr ll pw(ll n) { return 1ll << n; }constexpr ll flg(ll n) { return 63 - __builtin_clzll(n); }constexpr ll clg(ll n) { return flg(n - 1) + 1; }constexpr ll safemod(ll x, ll mod) { return (x % mod + mod) % mod; }template <typename T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>;template <typename T> constexpr T sq(const T &a) { return a * a; }template <typename T, typename U> constexpr bool chmax(T &a, const U &b) { return a < b ? a = b, true : false; }template <typename T, typename U> constexpr bool chmin(T &a, const U &b) { return a > b ? a = b, true : false; }template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &a) {os << "(" << a.first << ", " << a.second << ")";return os;}template <typename T, typename U, typename V> ostream &operator<<(ostream &os, const tuple<T, U, V> &a) {os << "(" << get<0>(a) << ", " << get<1>(a) << ", " << get<2>(a) << ")";return os;}template <typename T> ostream &operator<<(ostream &os, const vector<T> &a) {os << "(";for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : "");os << ")";return os;}template <typename T> ostream &operator<<(ostream &os, const set<T> &a) {os << "(";for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : "");os << ")";return os;}template <typename T> ostream &operator<<(ostream &os, const multiset<T> &a) {os << "(";for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : "");os << ")";return os;}template <typename T, typename U> ostream &operator<<(ostream &os, const map<T, U> &a) {os << "(";for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : "");os << ")";return os;}#ifdef ONLINE_JUDGE#define dump(...) (void(0))#elsevoid debug() { cerr << endl; }template <typename Head, typename... Tail> void debug(Head &&head, Tail &&... tail) {cerr << head;if (sizeof...(Tail)) cerr << ", ";debug(tail...);}#define dump(...) cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ", debug(__VA_ARGS__)#endifstruct rep {struct itr {ll v;itr(ll v) : v(v) {}void operator++() { ++v; }ll operator*() const { return v; }bool operator!=(itr i) const { return v < *i; }};ll l, r;rep(ll l, ll r) : l(l), r(r) {}rep(ll r) : rep(0, r) {}itr begin() const { return l; };itr end() const { return r; };};struct per {struct itr {ll v;itr(ll v) : v(v) {}void operator++() { --v; }ll operator*() const { return v; }bool operator!=(itr i) const { return v > *i; }};ll l, r;per(ll l, ll r) : l(l), r(r) {}per(ll r) : per(0, r) {}itr begin() const { return r - 1; };itr end() const { return l - 1; };};struct io_setup {static constexpr int PREC = 20;io_setup() {cout << fixed << setprecision(PREC);cerr << fixed << setprecision(PREC);};} iOS;template <typename M> struct modint {ll val;modint(ll val = 0) : val(val >= 0 ? val % M::mod : (M::mod - (-val) % M::mod) % M::mod) {}static ll mod() { return M::mod; }modint inv() const {ll a = val, b = M::mod, u = 1, v = 0, t;while (b > 0) {t = a / b;swap(a -= t * b, b);swap(u -= t * v, v);}return u;}modint pow(ll k) const {modint ret = 1, mul = val;while (k) {if (k & 1) ret *= mul;mul *= mul;k >>= 1;}return ret;}modint &operator+=(const modint &a) {if ((val += a.val) >= M::mod) val -= M::mod;return *this;}modint &operator-=(const modint &a) {if ((val += M::mod - a.val) >= M::mod) val -= M::mod;return *this;}modint &operator*=(const modint &a) {(val *= a.val) %= M::mod;return *this;}modint &operator/=(const modint &a) { return *this *= a.inv(); }modint operator+() const { return *this; }modint operator-() const { return modint(-val); }friend bool operator==(const modint &a, const modint &b) { return a.val == b.val; }friend bool operator!=(const modint &a, const modint &b) { return rel_ops::operator!=(a, b); }friend modint operator+(const modint &a, const modint &b) { return modint(a) += b; }friend modint operator-(const modint &a, const modint &b) { return modint(a) -= b; }friend modint operator*(const modint &a, const modint &b) { return modint(a) *= b; }friend modint operator/(const modint &a, const modint &b) { return modint(a) /= b; }friend istream &operator>>(istream &is, modint &a) {ll val;is >> val;a = modint(val);return is;}friend ostream &operator<<(ostream &os, const modint &a) { return os << a.val; }};struct _998244353 {constexpr static ll mod = 998244353;};struct _1000000007 {constexpr static ll mod = 1000000007;};using modint998244353 = modint<_998244353>;using modint1000000007 = modint<_1000000007>;struct arbitrary {static ll mod;};ll arbitrary::mod;template <typename V> struct fenwick_tree {vector<V> data;fenwick_tree(ll n) : data(n + 1, V()) {}void add(ll i, const V &x) {for (++i; i < (ll)data.size(); i += i & -i) data[i] += x;}V sum(ll i) const {V ret = V();for (; i > 0; i -= i & -i) ret += data[i];return ret;}V sum(ll l, ll r) const { return sum(r) - sum(l); }};template <typename P> struct unionfind {using V = typename P::V;ll n;vector<ll> ps;vector<V> val;unionfind(const vector<V> &val) : n(val.size()), ps(n, -1), val(val) {}unionfind(ll n, const V &a = {}) : unionfind(vector<V>(n, a)) {}ll find(ll i) {if (ps[i] < 0) return i;return ps[i] = find(ps[i]);}ll size(ll i) { return -ps[find(i)]; }void unite(ll i, ll j) {if ((i = find(i)) == (j = find(j))) return;if (-ps[i] < -ps[j]) swap(i, j);ps[i] += ps[j];P::merge(val[i], val[j]);ps[j] = i;}bool same(ll i, ll j) { return find(i) == find(j); }V &operator[](ll i) { return val[find(i)]; }vector<vector<ll>> groups() {vector<vector<ll>> ret(n);for (ll i : rep(n)) ret[find(i)].push_back(i);ret.erase(remove_if(all(ret), [](const vector<ll> &v) { return v.empty(); }), ret.end());return ret;}};struct normal_uf {using V = struct {};static void merge(V &a, const V &b) {}};template <typename V> V xor64(V lb, V ub) {static ull x = 88172645463325252ull;x ^= x << 7;return lb + (x ^= x >> 9) % (ub - lb);}template <typename V> vector<V> prime_factorize(V n) {vector<V> ret;for (V i = 2; i * i <= n; ++i) {while (n % i == 0) {ret.push_back(i);n /= i;}}if (n != 1) ret.push_back(n);return ret;}template <typename F> ll bisect(ll ok, ll ng, F f) {while (abs(ok - ng) > 1) {ll mid = (ok + ng) / 2;(f(mid) ? ok : ng) = mid;}return ok;}vector<bool> prime_table(ll n) {vector<bool> ret(n + 1, true);if (n >= 0) ret[0] = false;if (n >= 1) ret[1] = false;for (ll i = 2; i * i <= n; ++i) {if (!ret[i]) continue;for (ll j = i << 1; j <= n; j += i) ret[j] = false;}return ret;}struct rational {long long num, den;static long long gcd(long long a, long long b) {if (a < 0) { a = -a; }if (b < 0) { b = -b; }while (b) { std::swap(a %= b, b); }return a;}void reduce() {long long g = gcd(num, den);num /= g, den /= g;}rational(long long num_ = 0, long long den_ = 1, bool reduction = true) : num(num_), den(den_) {if (reduction) { reduce(); }if (den < 0) { num = -num, den = -den; }}rational &operator+=(const rational &a) {num = num * a.den + a.num * den, den *= a.den;reduce();return *this;}rational &operator-=(const rational &a) { return *this += -a; }rational &operator*=(const rational &a) {num *= a.num, den *= a.den;reduce();return *this;}rational &operator/=(const rational &a) { return *this *= a.inv(); }rational operator+() const { return *this; }rational operator-() const { return rational(-num, den, false); }friend bool operator==(const rational &a, const rational &b) { return a.num == b.num && a.den == b.den; }friend bool operator!=(const rational &a, const rational &b) { return std::rel_ops::operator!=(a, b); }friend bool operator<(const rational &a, const rational &b) { return a.num * b.den < b.num * a.den; }friend bool operator>(const rational &a, const rational &b) { return std::rel_ops::operator>(a, b); }friend bool operator<=(const rational &a, const rational &b) { return std::rel_ops::operator<=(a, b); }friend bool operator>=(const rational &a, const rational &b) { return std::rel_ops::operator>=(a, b); }friend rational operator+(rational a, const rational &b) { return a += b; }friend rational operator-(rational a, const rational &b) { return a -= b; }friend rational operator*(rational a, const rational &b) { return a *= b; }friend rational operator/(rational a, const rational &b) { return a /= b; }rational inv() const { return rational(den, num, false); }rational pow(long long n) const {if (n < 0) { return pow(-n).inv(); }rational ret(1, 1, false), mul = *this;while (n > 0) {if (n & 1) { ret.num *= mul.num, ret.den *= mul.den; }mul.num *= mul.num, mul.den *= mul.den;n >>= 1;}return ret;}double to_double() const { return (double)num / den; }friend std::istream &operator>>(std::istream &is, rational &rhs) {long long n, d;char s;is >> n >> s >> d;rhs = rational(n, d);return is;}friend std::ostream &operator<<(std::ostream &os, const rational &rhs) { return os << rhs.num << " / " << rhs.den; }};int main() {ll n, m, k;cin >> n >> m >> k;using mint = modint998244353;if (m <= k) {cout << mint(m).pow(2 * n) << endl;return 0;}mint ans = 0;ans += (m - k) * (mint(k).pow(2 * n) - mint(k - 1).pow(2 * n));ans += mint(k).pow(2 * n);cout << ans << endl;}